Assistant Professor
Mathematics
Mathematical biology, Nonlinear dynamics
Exporing complex dynamics in biparameter spaces
Ph.D in Mathematics from Visva-Bharati (a central university)
M.sc. in Mathematics from Visva-Bharati (a central university)
B.sc. in Mathematics from J.K. College, Purulia (SKBU)
Senior Project Associate at Indian Institute of Technology, Kanpur, from 2025-12-17 to 2026-02-28.
M. Hossain, R. Kumbhakar, and N. Pal, Dynamics in the biparametric spaces of a three-species food chain model with vigilance, Chaos, Solitons & Fractals, vol. 162, p.112438, 2022. DOI: 10.1016/j.chaos.2022.112438 — IF: 7.8, Quartile: Q1
R. Kumbhakar, S. Pal, N. Pal, and P. K. Tiwari, Bistability and tristability in a predator-prey model with strong Allee effect in prey, Journal of Biological Systems, vol. 31, no. 01, pp. 215–243, 2023. DOI: 10.1142/S0218339023500110 — IF: 1.3, Quartile: Q2
M. Hossain, R. Kumbhakar, N. Pal, and J. Kurths, Structure of parameter space of a three-species food chain model with immigration and emigration, Nonlinear Dynamics, vol. 111, no.15, pp. 14565–14582, 2023. DOI: 10.1007/s11071-023-08573-w — IF: 5.2, Quartile: Q1
R. Kumbhakar, M. Hossain, S. Karmakar, and N. Pal, An investigation of the parameter space in a tri-trophic food chain model with refuge, Mathematics and Computers in Simulation, vol. 217, pp. 37–59, 2024. DOI: 10.1016/j.matcom.2023.10.010 — IF: 4.4, Quartile: Q1
R. Kumbhakar, M. Hossain, and N. Pal, Dynamics of a two-prey one-predator model with fear and group defense, Chaos, Solitons & Fractals, vol. 179, p. 114449, 2024. DOI: 10.1016/j.chaos.2023.114449 — IF: 5.6, Quartile: Q1
S. Karmakar, R. Kumbhakar, S. Garai, F. Parastesh, S. Jafari, and N. Pal, Complex dynamics of a discrete-time food chain model, International Journal of Bifurcation and Chaos, vol. 34, no. 06, p. 2450078, 2024. DOI: 10.1142/S0218127424500780 — IF: 2.3, Quartile: Q1 ***Cover page of the journal
R. Kumbhakar, S. Karmakar, N. Pal, and J. Kurths, Shrimp-shaped structure and period-bubbling route to chaos in a one-dimensional economic model, Chaos, vol. 34, no. 10, p. 103115, 2024. DOI:10.1063/5.0226934 — IF: 3.2, Quartile: Q1
A. Sen, S. Karmakar, R. Kumbhakar, S. Panda, and S. Sarkar, Dynamics of a discrete-time Beddington–DeAngelis predator–prey model with fear effect, International Journal of Biomathematics, p. 2550125, 2025. DOI: 10.1142/S1793524525501256 — IF: 2.0, Quartile: Q2
S. Roy, R. Kumbhakar, S. Karmakar, P. K. Tiwari, and N. Pal, Dynamical complexities in a food chain model with schooling behavior: a study in a parameter plane, The European Physical Journal Plus, vol. 140, p. 1002, 2025. DOI: 10.1140/epjp/s13360-025-06939-0 — IF: 2.9, Quartile: Q2
R. Kumbhakar, S. Jafari, and N. Pal, Impacts of predation-driven Allee effect and refuge on the dynamics of a predator-prey model in a parameter plane, International Journal of Bifurcation and Chaos, vol. 35, no. 03, p. 2550036, 2025. DOI: 10.1142/S0218127425500361 — IF: 2.3, Quartile: Q1
R. Kumbhakar, S. Pal, and N. Pal, Structural sensitivity of a tri-trophic food chain model in a parameter plane, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol. 35, no. 9, p. 093123, 2025. DOI: 10.1063/5.0275113 — IF: 3.2, Quartile: Q1***Featured article ***Scilight
R. Kumbhakar and N. Pal, Organized structures and different types of multistability in a one-dimensional ecological model — A parameter plane study, Physica D: Nonlinear Phenomena, vol. 483, p. 134908, 2025. DOI: 10.1016/j.physd.2025.134908 — IF: 2.9, Quartile: Q1